Respuesta :
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Define the two numbers:
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Let one number be x and the other number be y.
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Construct the two equations:
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The product of the two numbers is 198:
xy = 198
The sum of the two numbers is 29:
x + y = 29
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Solve for x and y:
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xy = 198 ----------------------- (1)
x + y = 29 ------------------------- (2)
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From equation (2):
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x + y = 29
x = 29 - y
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Substitute x = 29-y into (1):
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y(29 - y) = 198
29y - y² = 198
y² - 29y + 198 = 0
(y - 11)(y -18) = 0
y = 11 or y = 18
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Substitute y = 11 into equation 2
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x + y = 29
x + 11 = 29
x = 29 - 11
x = 18
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Answer: The number are 11 and 18.
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Define the two numbers:
-------------------------------------------------------
Let one number be x and the other number be y.
-------------------------------------------------------
Construct the two equations:
-------------------------------------------------------
The product of the two numbers is 198:
xy = 198
The sum of the two numbers is 29:
x + y = 29
-------------------------------------------------------
Solve for x and y:
-------------------------------------------------------
xy = 198 ----------------------- (1)
x + y = 29 ------------------------- (2)
-------------------------------------------------------
From equation (2):
-------------------------------------------------------
x + y = 29
x = 29 - y
-------------------------------------------------------
Substitute x = 29-y into (1):
-------------------------------------------------------
y(29 - y) = 198
29y - y² = 198
y² - 29y + 198 = 0
(y - 11)(y -18) = 0
y = 11 or y = 18
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Substitute y = 11 into equation 2
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x + y = 29
x + 11 = 29
x = 29 - 11
x = 18
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Answer: The number are 11 and 18.
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